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Finding the Fourth Proportional to 821, 1,132.98 and 510.50

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Solution

The fourth proportional to 821, 1,132.98 and 510.50 is: 704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    821 : 1,132.98 = 510.50 : x
  2. Step 2: Convert to fraction form
    821/1,132.98 = 510.50/x
  3. Step 3: Cross multiply
    821x = 1,132.98 × 510.50
  4. Step 4: Simplify right side
    821x = 578,386.29
  5. Step 5: Solve for x
    x = 578,386.29/821
  6. Step 6: Final answer
    x = 704.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.